TSTP Solution File: SYN403+1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN403+1 : TPTP v3.4.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art10.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1003MB
% OS : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May 6 17:53:15 EDT 2009
% Result : Theorem 0.2s
% Output : Refutation 0.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 4 unt; 0 def)
% Number of atoms : 1035 ( 0 equ)
% Maximal formula atoms : 1024 ( 129 avg)
% Number of connectives : 1542 ( 515 ~; 772 |; 255 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 260 ( 34 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
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& ( g(x)
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& ( g(x)
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& ( f(x)
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& ( ~ h(x)
| f(x)
| ~ f(x)
| ~ h(x) )
& ( ~ g(x)
| f(x)
| ~ f(x)
| ~ h(x) )
& ( g(x)
| f(x)
| ~ f(x)
| ~ h(x) )
& ( f(x)
| ~ h(x)
| ~ f(x)
| ~ h(x) )
& ( ~ h(x)
| ~ h(x)
| ~ f(x)
| ~ h(x) )
& ( ~ g(x)
| ~ h(x)
| ~ f(x)
| ~ h(x) )
& ( g(x)
| ~ h(x)
| ~ f(x)
| ~ h(x) )
& ( f(x)
| h(x)
| ~ f(x)
| ~ h(x) )
& ( ~ h(x)
| h(x)
| ~ f(x)
| ~ h(x) )
& ( ~ g(x)
| h(x)
| ~ f(x)
| ~ h(x) )
& ( g(x)
| h(x)
| ~ f(x)
| ~ h(x) )
& ( f(x)
| g(x)
| ~ f(x)
| ~ h(x) )
& ( ~ h(x)
| g(x)
| ~ f(x)
| ~ h(x) )
& ( ~ g(x)
| g(x)
| ~ f(x)
| ~ h(x) )
& ( g(x)
| g(x)
| ~ f(x)
| ~ h(x) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN403+1.tptp',unknown),
[] ).
cnf(169427016,plain,
( ~ g(x)
| h(x)
| f(x) ),
inference(rewrite,[status(thm)],[kalish234]),
[] ).
cnf(169431816,plain,
( ~ g(x)
| f(x) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[kalish234,169427016]),
[] ).
cnf(169437696,plain,
( g(x)
| f(x) ),
inference(rewrite,[status(thm)],[kalish234]),
[] ).
cnf(169456168,plain,
g(x),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[kalish234,169437696]),
[] ).
cnf(169460944,plain,
h(x),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[kalish234,169431816,169456168]),
[] ).
cnf(169418304,plain,
~ h(x),
inference(rewrite,[status(thm)],[kalish234]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[169460944,169418304]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(kalish234,plain,(((f(x)|f(x)|f(x)|h(x))&(~h(x)|f(x)|f(x)|h(x))&(~g(x)|f(x)|f(x)|h(x))&(g(x)|f(x)|f(x)|h(x))&(f(x)|~h(x)|f(x)|h(x))&(~h(x)|~h(x)|f(x)|h(x))&(~g(x)|~h(x)|f(x)|h(x))&(g(x)|~h(x)|f(x)|h(x))&(f(x)|h(x)|f(x)|h(x))&(~h(x)|h(x)|f(x)|h(x))&(~g(x)|h(x)|f(x)|h(x))&(g(x)|h(x)|f(x)|h(x))&(f(x)|g(x)|f(x)|h(x))&(~h(x)|g(x)|f(x)|h(x))&(~g(x)|g(x)|f(x)|h(x))&(g(x)|g(x)|f(x)|h(x))&(f(x)|f(x)|~h(x)|h(x))&(~h(x)|f(x)|~h(x)|h(x))&(~g(x)|f(x)|~h(x)|h(x))&(g(x)|f(x)|~h(x)|h(x))&(f(x)|~h(x)|~h(x)|h(x))&(~h(x)|~h(x)|~h(x)|h(x))&(~g(x)|~h(x)|~h(x)|h(x))&(g(x)|~h(x)|~h(x)|h(x))&(f(x)|h(x)|~h(x)|h(x))&(~h(x)|h(x)|~h(x)|h(x))&(~g(x)|h(x)|~h(x)|h(x))&(g(x)|h(x)|~h(x)|h(x))&(f(x)|g(x)|~h(x)|h(x))&(~h(x)|g(x)|~h(x)|h(x))&(~g(x)|g(x)|~h(x)|h(x))&(g(x)|g(x)|~h(x)|h(x))&(f(x)|f(x)|~g(x)|h(x))&(~h(x)|f(x)|~g(x)|h(x))&(~g(x)|f(x)|~g(x)|h(x))&(g(x)|f(x)|~g(x)|h(x))&(f(x)|~h(x)|~g(x)|h(x))&(~h(x)|~h(x)|~g(x)|h(x))&(~g(x)|~h(x)|~g(x)|h(x))&(g(x)|~h(x)|~g(x)|h(x))&(f(x)|h(x)|~g(x)|h(x))&(~h(x)|h(x)|~g(x)|h(x))&(~g(x)|h(x)|~g(x)|h(x))&(g(x)|h(x)|~g(x)|h(x))&(f(x)|g(x)|~g(x)|h(x))&(~h(x)|g(x)|~g(x)|h(x))&(~g(x)|g(x)|~g(x)|h(x))&(g(x)|g(x)|~g(x)|h(x))&(f(x)|f(x)|~f(x)|h(x))&(~h(x)|f(x)|~f(x)|h(x))&(~g(x)|f(x)|~f(x)|h(x))&(g(x)|f(x)|~f(x)|h(x))&(f(x)|~h(x)|~f(x)|h(x))&(~h(x)|~h(x)|~f(x)|h(x))&(~g(x)|~h(x)|~f(x)|h(x))&(g(x)|~h(x)|~f(x)|h(x))&(f(x)|h(x)|~f(x)|h(x))&(~h(x)|h(x)|~f(x)|h(x))&(~g(x)|h(x)|~f(x)|h(x))&(g(x)|h(x)|~f(x)|h(x))&(f(x)|g(x)|~f(x)|h(x))&(~h(x)|g(x)|~f(x)|h(x))&(~g(x)|g(x)|~f(x)|h(x))&(g(x)|g(x)|~f(x)|h(x))&(f(x)|f(x)|f(x)|~f(x))&(~h(x)|f(x)|f(x)|~f(x))&(~g(x)|f(x)|f(x)|~f(x))&(g(x)|f(x)|f(x)|~f(x))&(f(x)|~h(x)|f(x)|~f(x))&(~h(x)|~h(x)|f(x)|~f(x))&(~g(x)|~h(x)|f(x)|~f(x))&(g(x)|~h(x)|f(x)|~f(x))&(f(x)|h(x)|f(x)|~f(x))&(~h(x)|h(x)|f(x)|~f(x))&(~g(x)|h(x)|f(x)|~f(x))&(g(x)|h(x)|f(x)|~f(x))&(f(x)|g(x)|f(x)|~f(x))&(~h(x)|g(x)|f(x)|~f(x))&(~g(x)|g(x)|f(x)|~f(x))&(g(x)|g(x)|f(x)|~f(x))&(f(x)|f(x)|~h(x)|~f(x))&(~h(x)|f(x)|~h(x)|~f(x))&(~g(x)|f(x)|~h(x)|~f(x))&(g(x)|f(x)|~h(x)|~f(x))&(f(x)|~h(x)|~h(x)|~f(x))&(~h(x)|~h(x)|~h(x)|~f(x))&(~g(x)|~h(x)|~h(x)|~f(x))&(g(x)|~h(x)|~h(x)|~f(x))&(f(x)|h(x)|~h(x)|~f(x))&(~h(x)|h(x)|~h(x)|~f(x))&(~g(x)|h(x)|~h(x)|~f(x))&(g(x)|h(x)|~h(x)|~f(x))&(f(x)|g(x)|~h(x)|~f(x))&(~h(x)|g(x)|~h(x)|~f(x))&(~g(x)|g(x)|~h(x)|~f(x))&(g(x)|g(x)|~h(x)|~f(x))&(f(x)|f(x)|~g(x)|~f(x))&(~h(x)|f(x)|~g(x)|~f(x))&(~g(x)|f(x)|~g(x)|~f(x))&(g(x)|f(x)|~g(x)|~f(x))&(f(x)|~h(x)|~g(x)|~f(x))&(~h(x)|~h(x)|~g(x)|~f(x))&(~g(x)|~h(x)|~g(x)|~f(x))&(g(x)|~h(x)|~g(x)|~f(x))&(f(x)|h(x)|~g(x)|~f(x))&(~h(x)|h(x)|~g(x)|~f(x))&(~g(x)|h(x)|~g(x)|~f(x))&(g(x)|h(x)|~g(x)|~f(x))&(f(x)|g(x)|~g(x)|~f(x))&(~h(x)|g(x)|~g(x)|~f(x))&(~g(x)|g(x)|~g(x)|~f(x))&(g(x)|g(x)|~g(x)|~f(x))&(f(x)|f(x)|~f(x)|~f(x))&(~h(x)|f(x)|~f(x)|~f(x))&(~g(x)|f(x)|~f(x)|~f(x))&(g(x)|f(x)|~f(x)|~f(x))&(f(x)|~h(x)|~f(x)|~f(x))&(~h(x)|~h(x)|~f(x)|~f(x))&(~g(x)|~h(x)|~f(x)|~f(x))&(g(x)|~h(x)|~f(x)|~f(x))&(f(x)|h(x)|~f(x)|~f(x))&(~h(x)|h(x)|~f(x)|~f(x))&(~g(x)|h(x)|~f(x)|~f(x))&(g(x)|h(x)|~f(x)|~f(x))&(f(x)|g(x)|~f(x)|~f(x))&(~h(x)|g(x)|~f(x)|~f(x))&(~g(x)|g(x)|~f(x)|~f(x))&(g(x)|g(x)|~f(x)|~f(x))&(f(x)|f(x)|f(x)|f(x))&(~h(x)|f(x)|f(x)|f(x))&(~g(x)|f(x)|f(x)|f(x))&(g(x)|f(x)|f(x)|f(x))&(f(x)|~h(x)|f(x)|f(x))&(~h(x)|~h(x)|f(x)|f(x))&(~g(x)|~h(x)|f(x)|f(x))&(g(x)|~h(x)|f(x)|f(x))&(f(x)|h(x)|f(x)|f(x))&(~h(x)|h(x)|f(x)|f(x))&(~g(x)|h(x)|f(x)|f(x))&(g(x)|h(x)|f(x)|f(x))&(f(x)|g(x)|f(x)|f(x))&(~h(x)|g(x)|f(x)|f(x))&(~g(x)|g(x)|f(x)|f(x))&(g(x)|g(x)|f(x)|f(x))&(f(x)|f(x)|~h(x)|f(x))&(~h(x)|f(x)|~h(x)|f(x))&(~g(x)|f(x)|~h(x)|f(x))&(g(x)|f(x)|~h(x)|f(x))&(f(x)|~h(x)|~h(x)|f(x))&(~h(x)|~h(x)|~h(x)|f(x))&(~g(x)|~h(x)|~h(x)|f(x))&(g(x)|~h(x)|~h(x)|f(x))&(f(x)|h(x)|~h(x)|f(x))&(~h(x)|h(x)|~h(x)|f(x))&(~g(x)|h(x)|~h(x)|f(x))&(g(x)|h(x)|~h(x)|f(x))&(f(x)|g(x)|~h(x)|f(x))&(~h(x)|g(x)|~h(x)|f(x))&(~g(x)|g(x)|~h(x)|f(x))&(g(x)|g(x)|~h(x)|f(x))&(f(x)|f(x)|~g(x)|f(x))&(~h(x)|f(x)|~g(x)|f(x))&(~g(x)|f(x)|~g(x)|f(x))&(g(x)|f(x)|~g(x)|f(x))&(f(x)|~h(x)|~g(x)|f(x))&(~h(x)|~h(x)|~g(x)|f(x))&(~g(x)|~h(x)|~g(x)|f(x))&(g(x)|~h(x)|~g(x)|f(x))&(f(x)|h(x)|~g(x)|f(x))&(~h(x)|h(x)|~g(x)|f(x))&(~g(x)|h(x)|~g(x)|f(x))&(g(x)|h(x)|~g(x)|f(x))&(f(x)|g(x)|~g(x)|f(x))&(~h(x)|g(x)|~g(x)|f(x))&(~g(x)|g(x)|~g(x)|f(x))&(g(x)|g(x)|~g(x)|f(x))&(f(x)|f(x)|~f(x)|f(x))&(~h(x)|f(x)|~f(x)|f(x))&(~g(x)|f(x)|~f(x)|f(x))&(g(x)|f(x)|~f(x)|f(x))&(f(x)|~h(x)|~f(x)|f(x))&(~h(x)|~h(x)|~f(x)|f(x))&(~g(x)|~h(x)|~f(x)|f(x))&(g(x)|~h(x)|~f(x)|f(x))&(f(x)|h(x)|~f(x)|f(x))&(~h(x)|h(x)|~f(x)|f(x))&(~g(x)|h(x)|~f(x)|f(x))&(g(x)|h(x)|~f(x)|f(x))&(f(x)|g(x)|~f(x)|f(x))&(~h(x)|g(x)|~f(x)|f(x))&(~g(x)|g(x)|~f(x)|f(x))&(g(x)|g(x)|~f(x)|f(x))&(f(x)|f(x)|f(x)|~h(x))&(~h(x)|f(x)|f(x)|~h(x))&(~g(x)|f(x)|f(x)|~h(x))&(g(x)|f(x)|f(x)|~h(x))&(f(x)|~h(x)|f(x)|~h(x))&(~h(x)|~h(x)|f(x)|~h(x))&(~g(x)|~h(x)|f(x)|~h(x))&(g(x)|~h(x)|f(x)|~h(x))&(f(x)|h(x)|f(x)|~h(x))&(~h(x)|h(x)|f(x)|~h(x))&(~g(x)|h(x)|f(x)|~h(x))&(g(x)|h(x)|f(x)|~h(x))&(f(x)|g(x)|f(x)|~h(x))&(~h(x)|g(x)|f(x)|~h(x))&(~g(x)|g(x)|f(x)|~h(x))&(g(x)|g(x)|f(x)|~h(x))&(f(x)|f(x)|~h(x)|~h(x))&(~h(x)|f(x)|~h(x)|~h(x))&(~g(x)|f(x)|~h(x)|~h(x))&(g(x)|f(x)|~h(x)|~h(x))&(f(x)|~h(x)|~h(x)|~h(x))&(~h(x)|~h(x)|~h(x)|~h(x))&(~g(x)|~h(x)|~h(x)|~h(x))&(g(x)|~h(x)|~h(x)|~h(x))&(f(x)|h(x)|~h(x)|~h(x))&(~h(x)|h(x)|~h(x)|~h(x))&(~g(x)|h(x)|~h(x)|~h(x))&(g(x)|h(x)|~h(x)|~h(x))&(f(x)|g(x)|~h(x)|~h(x))&(~h(x)|g(x)|~h(x)|~h(x))&(~g(x)|g(x)|~h(x)|~h(x))&(g(x)|g(x)|~h(x)|~h(x))&(f(x)|f(x)|~g(x)|~h(x))&(~h(x)|f(x)|~g(x)|~h(x))&(~g(x)|f(x)|~g(x)|~h(x))&(g(x)|f(x)|~g(x)|~h(x))&(f(x)|~h(x)|~g(x)|~h(x))&(~h(x)|~h(x)|~g(x)|~h(x))&(~g(x)|~h(x)|~g(x)|~h(x))&(g(x)|~h(x)|~g(x)|~h(x))&(f(x)|h(x)|~g(x)|~h(x))&(~h(x)|h(x)|~g(x)|~h(x))&(~g(x)|h(x)|~g(x)|~h(x))&(g(x)|h(x)|~g(x)|~h(x))&(f(x)|g(x)|~g(x)|~h(x))&(~h(x)|g(x)|~g(x)|~h(x))&(~g(x)|g(x)|~g(x)|~h(x))&(g(x)|g(x)|~g(x)|~h(x))&(f(x)|f(x)|~f(x)|~h(x))&(~h(x)|f(x)|~f(x)|~h(x))&(~g(x)|f(x)|~f(x)|~h(x))&(g(x)|f(x)|~f(x)|~h(x))&(f(x)|~h(x)|~f(x)|~h(x))&(~h(x)|~h(x)|~f(x)|~h(x))&(~g(x)|~h(x)|~f(x)|~h(x))&(g(x)|~h(x)|~f(x)|~h(x))&(f(x)|h(x)|~f(x)|~h(x))&(~h(x)|h(x)|~f(x)|~h(x))&(~g(x)|h(x)|~f(x)|~h(x))&(g(x)|h(x)|~f(x)|~h(x))&(f(x)|g(x)|~f(x)|~h(x))&(~h(x)|g(x)|~f(x)|~h(x))&(~g(x)|g(x)|~f(x)|~h(x))&(g(x)|g(x)|~f(x)|~h(x)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN403+1.tptp',unknown),[]).
%
% cnf(169427016,plain,(~g(x)|h(x)|f(x)),inference(rewrite,[status(thm)],[kalish234]),[]).
%
% cnf(169431816,plain,(~g(x)|f(x)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[kalish234,169427016]),[]).
%
% cnf(169437696,plain,(g(x)|f(x)),inference(rewrite,[status(thm)],[kalish234]),[]).
%
% cnf(169456168,plain,(g(x)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[kalish234,169437696]),[]).
%
% cnf(169460944,plain,(h(x)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[kalish234,169431816,169456168]),[]).
%
% cnf(169418304,plain,(~h(x)),inference(rewrite,[status(thm)],[kalish234]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[169460944,169418304]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------